On the Relation Between Distances and Seminorms on Fréchet Spaces, with Application to Isometries

On the Relation Between Distances and Seminorms on Fréchet Spaces, with Application to Isometries

A study is made of linear isometries on Fréchet spaces for which the metric is given in terms of a sequence of seminorms. This establishes sufficient conditions on the growth of the function that defines the metric in terms of the seminorms to ensure that a linear operator preserving the metric also...

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Bibliographic Details
Main Authors: Isabelle Chalendar, Lucas Oger, Jonathan R. Partington
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Mathematics
Subjects:
fréchet space
isometry
distance
operator theory
Banach–Stone theorem
Online Access:https://www.mdpi.com/2227-7390/13/13/2053
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https://www.mdpi.com/2227-7390/13/13/2053

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